UNSOLVED PROBLEMS 
In Number Theory, Logic, and Cryptography 
Magic Square of Squares 
A square is magic if each of the rows, columns, and diagonals add up to the same total. So, for example, the square
is magic, since every row, column, and diagonal adds up to 4035. Of the nine entries, five (49, 169, 289, 1225, and 2401) are perfect squares. The problem is to find a 3 by 3 magic square all of whose entries are distinct perfect squares, or prove that such a square cannot exist.
For further information, please see: [1] http://www.multimagie.com/indexengl.htm [2] http://www.rosehulman.edu/mathjournal/archives/2003/vol4n1/paper3/v4n13pd.pdf [3] http://mathpages.com/home/kmath417.htm
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2521 
49 
1465 
289 
1345 
2401 
1225 
2641 
169 